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Finding the Fourth Proportional to 284.13, 392.10 and 167.70

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Solution

The fourth proportional to 284.13, 392.10 and 167.70 is: 231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 392.10 = 167.70 : x
  2. Step 2: Convert to fraction form
    284.13/392.10 = 167.70/x
  3. Step 3: Cross multiply
    284.13x = 392.10 × 167.70
  4. Step 4: Simplify right side
    284.13x = 65,755.17
  5. Step 5: Solve for x
    x = 65,755.17/284.13
  6. Step 6: Final answer
    x = 231.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.